In this paper a variable neighbourhood search (VNS) algorithm is developed that can generate musical fragments of arbitrary length consisting of a cantus firmus and a first species counterpoint melody. The objective function of the algorithm is based on a quantification of existing counterpoint...

A ring tree is a tree graph with an optional additional edge that closes a unique cycle. Such a cycle is called a ring and the nodes on it are called ring nodes. The capacitated ring tree problem (CRTP) asks for a network of minimal overall edge cost that connects given customers to a depot by...

We consider a routing problem for ambulances in a disaster response scenario, in which a large number of injured people require medical aid at the same time. The ambulances are used to carry medical personnel and patients. We distinguish two groups of patients: slightly injured people who can be...

This paper describes the implementation of an Android application, called FuX1, that can continuously play a stream of newly generated fifth species counterpoint. A variable neighborhood search algorithm is implemented in order to generate the music. This algorithm is a modification of an...

The responses obtained from response surface designs that are run sequentially often exhibit serial correlation or time trends. The order in which the runs of the design are performed then has an impact on the precision of the parameter estimators. This article proposes the use of a...

In this paper, a variable neighborhood search (VNS) algorithm is developed and analyzed that can generate fifth species counterpoint fragments. The existing species counterpoint rules are quantified and form the basis of the objective function used by the algorithm. The VNS developed in this...

In this paper we present a heuristic framework that is based on mathematical programming to solve network design problems. Our techniques combine local branching with locally exact refinements. In an iterative strategy an existing solution is refined by solving restricted mixed integer programs...